Factorise
a² - 144
Please factorise this
Answers
Answer:
a² ÷a = a
144 ÷ 2= 12
(a - 12) (a + 12)
Answer:
[tex]\bf\pink{(a-12)\times (a+12)}[/tex]Step-by-step explanation:
Given Expression :-[tex]\bf\blue{a^{2} - 144}[/tex]Steps to factorise :-[tex]\longrightarrow\:\:\bf\red{a^{2} - 144}[/tex]
Write the number in the exponential form with an exponent of 2[tex]\longrightarrow\:\:\bf\orange{a^{2}-12^{2}}[/tex]
Using a²-b² = (a-b)(a+b), factor the expression.[tex]\longrightarrow\:\:\bf\purple{(a-12)\times (a+12)}[/tex]
(Refer the attachment for graph representation)
Graph Details :-[tex]\bigstar\:\:\bf{y=a^{2}-144}[/tex]
[tex]\rm{ Roots \:\:(-12,\:0)\:(12,\:0)}[/tex][tex]\rm{Domain \:\:a \in {\mathbb{R}}}[/tex][tex]\rm{Range \:\:y\in \bigg( -144,\:+\infty \bigg) }[/tex][tex]\rm{Minimum \:\: (0,\:-144)}[/tex][tex]\rm{Vertical\: Intercept\:\:(0,\:-144)}[/tex]
Related Questions
find the value of the expression 2y-5 for y=10
Answers
Answer:
15
Step-by-step explanation:
Substitute 10 for y
2(10) - 5
= 15
Answer:
15
Step-by-step explanation:
2y-2
sinse y=10,
2(10)-5
20-5
15
Need answers
Chapter 3 geometry test on big ideas math
Answers
Answer/Step-by-step explanation:
WX: 4.47
[tex]4^{2} + 2^{2} = 20\\\sqrt{20} = 4.47[/tex]
XY: 3.61
[tex]3^{2} + 2^{2} = 13\\\sqrt{13} = 3.61[/tex]
YZ: 4.12
[tex]1^{2} + 4^{2} = 17\\\sqrt{17} =4.12[/tex]
WZ: 4.24
[tex]3^{2} + 3^{2} = 18 \\\sqrt{18} = 4.24[/tex]
The slopes of the lines are:
WX = 2
XY = -1.5
YZ = 4
WZ = -1
Given is a polygon on a coordinate plane with vertices =
W = (-5, 1)
X = (-3, 5)
Y = (-1, 2)
Z = (-2, -2)
We need to find the slopes of line =
WX, XY, YZ and WZ
To find the slopes of the lines connecting the vertices of the polygon, we can use the formula for the slope between two points (x₁, y₁) and (x₂, y₂):
slope = (y₂ - y₁) / (x₂ - x₁)
Let's calculate the slopes for each line:
1) Slope of line WX:
W = (-5, 1)
X = (-3, 5)
slope(WX) = (5 - 1) / (-3 - (-5))
= 4 / 2
= 2
So, the slope of line WX is 2.
2) Slope of line XY:
X = (-3, 5)
Y = (-1, 2)
slope(XY) = (2 - 5) / (-1 - (-3))
= -3 / 2
= -1.5
So, the slope of line XY is -1.5.
3) Slope of line YZ:
Y = (-1, 2)
Z = (-2, -2)
slope(YZ) = (-2 - 2) / (-2 - (-1))
= -4 / (-1)
= 4
So, the slope of line YZ is 4.
4) Slope of line WZ:
W = (-5, 1)
Z = (-2, -2)
slope(WZ) = (-2 - 1) / (-2 - (-5))
= -3 / 3
= -1
So, the slope of line WZ is -1.
Therefore, the slopes of the lines are:
WX = 2
XY = -1.5
YZ = 4
WZ = -1
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which number line shows an integer and its opposite?
Answers
Answer:
B
Step-by-step explanation:
An integer is a whole number (not including 0). An integer's opposite can be found by adding a negative sign to the front of it. A negative integer's opposite would be positive, while a positive integer's opposite would be negative.
Divina get paid two dollars per hour to do her chores this weekend she did chores on both Saturday and Sunday she made a total of $20 divina Worked for four hours on Saturday for how many hours did she do her chores on Sunday let X equal hours spent doing chores on Sunday choose The equation and solution steps that correctly represent this problem HELP
Answers
Answer:
Equation: 4(2) + 2x = 20
Step-by-step explanation:
Subtract 8 from both sides
2x = 12
Divide both sides by 2
x = 6
She did 6 hours of chores on Sunday
The equation will be 4(2) + 2x = 20. Hence, She did 6 hours of chores on Sunday.
What is the solution for an equation?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of that variable would give a true mathematical statement.
Divina gets paid two dollars per hour to do her chores this weekend.
she did chores on both Saturday and Sunday.
she made a total of $20 Divina Worked for four hours on Saturday.
Let x equal hours spent doing chores on Sunday.
The equation will be
4(2) + 2x = 20
Subtract 8 from both sides
4(2) + 2x - 8 = 20- 8
2x = 12
Divide both sides by 2
x = 6
Hence, She did 6 hours of chores on Sunday.
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i need assistance lol
Answers
Please leave a brainliest mark and a thanks (:
Mrs. Green has to buy enough candy canes for every student in her school to each get one. Candy canes are sold 10 to a box for $3 a box. There are 7 teams in the school, and each team has between 93 and 116 students. a. Is this situation discrete or continuous? How do you know? b. What is the domain and range? (Really think about what you are collecting data on in this question)
Answers
Answer:
a. The situation is discrete for the domain and continuous for the range.
b. i. 651 ≤ x ≤ 812. ii. $ 195.3 ≤ x ≤ $ 243.6.
Step-by-step explanation:
a. This is because we can only have a whole number of students which in turn leads to a whole number of candies. Also, since the cost of each candy box is $ 3/10 = $ 0.3, it is a real number. So, the total cost of candy will also be a real number. Thus, the situation is discrete for the domain and continuous for the range.
b. i. Let x be the number of students which also equals number of candies to be bought. Since there are 7 teams and between 93 and 116 students per team, the minimum number of students is 93 × 7 = 651 and the maximum number of students is 116 × 7 = 812. So, the domain, the number of candies is 651 ≤ x ≤ 812.
ii. The range of the function is the cost of the candies. Since the cost of the candies is $ 3 per box and there are 10 per box, each candy costs $ 3/10 = $ 0.3. So the total cost of candies C = cost per candy × number of students = $0.3x.
So, the range of the candies is the minimum and maximum values of students times $ 0.3. So, 651 × $ 0.3 ≤ x ≤ 812 × $ 0.3 = $ 195.3 ≤ x ≤ $ 243.6
perform the indicated operation. Be sure the answer is reduced.
2a+1/3a + 5/4 - 2a-3/6a^2
A 23a^2 + 6/12a^2
B -23a^2 + 6/12a^2
C 23a^2 - 6/12a^2
Answers
Answer:
A 23a^2 + 6/12a^2
Step-by-step explanation:
2a+1/3a + 5/4 -2a-3/6a^2
=4(2a+1)+15a/12a - 2a-3/6a^2
=a(8a+4+15a^2)-{2(2a-3)}/12a^2
=8a^2+4a+15a^2-4a+6/12a^2
=23a^2+6/12a^2
which expression is equivalent to 9x+4y+5+2x +8?
Answers
9x+2x=11x
5+8=13
=
11x+4y+13
Answer:
11x + 4y + 13
Step-by-step explanation:
ORIGNIAL EXPRESSION: 9x + 4y + 5 +2x +8
Combine like terms.
11x + 4y + 13 is the final answer.
(If this helped you, please give brainliest!)
(I did this on I-Ready and got it correct.)
Longer question please help ASAP
Answers
Answer:
a. 40÷2.89=m b. 13
Step-by-step explanation:
i rounded 2.89 to the nearest whole which was 3then i knew in my head that this would be a divsion qustionsince divideing 2.89 with 40 would be hard i did 3 instaed plus 3 id also resonablethen i did 40÷3 witch is 13.3 then rounded 13.3 to the nearest whole witch was 13 13 is the answerWrite the equation of the line
Answers
Answer:
y=-3/2x+4
Step-by-step explanation:
line is negative, going 3 over 2. y intercept is 4.
A biologist determined that there were 42 oak trees in a 5-acre forest. How many oak trees would be expected on 40 acres of identical habitat?
Answers
Answer:
336
Step-by-step explanation:
Using arithmetic operation, the number of oak trees on the land which is of identical habitat would be 336.
Using the relation:
5 acres = 42 trees - - - - - (1)
40 acres = t - - - - - (2)
Cross multiply
5t = 42 × 40
5t = 1680
t = 1680 / 5
t = 336 oak trees
Therefore, the Number of oak trees would be 336
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32gal/min = ft/s not h i need s
Answers
Gallons (volume) and feet (length) are not compatible units. I guess you mean cubic feet.
Apparently, 1 gal = 231 in³, so
32 gal/min
= (32 gal/min) • (231 in³/gal) • (1/12 ft/in)³ • (1/60 min/s)
= (32 • 231) / (12³ • 60) ft³/s
= 77/1080 ft³/s
≈ 0.0713 ft³/s
My mom was at the store with a 15% off coupon. She spent $25.00 with 7% sales tax. How much is the total?
Answers
Answer:
The answer is $22.74
Step-by-step explanation:
Last year, the average monthly revenue at the Richmond Times newspaper was $82,980. So far this year, the average has been 25% more than last year. What is the average revenue so far this year?
Answers
Answer:
103,725
Step-by-step explanation:
82,980x.25+82,980
PLEASE HELP!
Identify the center and radius of the circle (x+4)^2 + (y-2)^2=16
Answers
When 0.3(4x – 8) – 0.5(–2.4x + 4) is simplified, what is the resulting expression?
A. -4.4
B. 1.2x - 2.4 + 1.2x - 2
C. 2.4x - 0.4
D. 2.4x - 4.4
Answers
Answer:
It's the B
Step-by-step explanation:
0.3*4=1.2
0.3 *(-8)=-2.4
-0.5*(-2.4x)= 1.2x
-0.5*4=-2
So it's 1.2x - 2.4 + 1.2x - 2
Answer:its B
Step-by-step explanation:
I just took the quiz
PLEASE HELP FAST ITS PRETTY EASY FOR BRIANLIST
Answers
Fractional powers are basically just roots with the bottom fraction being the amount of roots and the top fraction being the power.
5^0.5 = 5^(1/2) = sqrt(5)
Answer:
5^(1/2)
Step-by-step explanation:
5^(1/2)
due in 30 min! Order the Angles from LEAST TO GREATEST
B, C, A
A, C, B
A, B, C
B, A, C
C, B, A
C, A, B
Answers
Answer:
Pretty sure it's C, A, B
Step-by-step explanation:
mL1 = 26°
and
mL3 = 53°
What is
mL4
Answers
Answer:
53 + 26
=79 is righttherefore m angle 4 is 79
11+(-3)-1/8j-3/8j+7=
Will give reward if right
Answers
Answer:
J = 7.5
Step-by-step explanation:
* This is going off of the estimate that the = sign means the equation is = to 0, as there is no value after the equal sign. *
First, start off by adding all of the like numbers.
11 + (-3) + 7 = 8 + 7 = 15
- 1/8 j - 3/8 j = - 4/8 j.
Combining those two sums, we get:
15 - 4/8 j = 0
Subtract 15 from both sides,
-4/8 j = -15
Simplify -4/8 to -1/2, and then to -0.5
-0.5j = -15
Divide.
-15/-0.5 = 7.5
When you divide a negative number by another negative number, you get a positive. Therefore, the answer is J = 7.5
If the number after the = sign IS NOT 0, then when you get to 15 - 0.5j, just do the steps but with a number that isn't 0.
PLEASE HELP ME I KNOW ITS A LOT BUT I PUT EXTRA POINTS AND I’LL MARK YOU AS BRANLIEST!!!
Answers
Answer:
6.67
66.7%
1.20
337.12
Step-by-step explanation:
95.25*(7/100)
42.12/63.18*100
20. 95*(5/100)
9632*(3.5/100)
If the product of the two roots of the equation : (k - 2) x2 - 6 X + 12 = 0 is 3, then k =
(a) zero
(b) 4
(c) 6
(d) 38
Answers
Answer:
(c)
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0
Then the product of the roots = [tex]\frac{c}{a}[/tex]
(k - 2)x² - 6x + 12 = 0 ← is in standard form
with a = k - 2 and c = 12 , thus
[tex]\frac{12}{k-2}[/tex] = 3 ( multiply both sides by (k - 1) )
12 = 3(k - 2) = 3k - 6 ( add 6 to both sides )
18 = 3k ( divide both sides by 3 )
6 = k → (c)
CAN SOMEONE HELP ASAP ILL GIVE GOOD RATING
Answers
Answer:
35
Step-by-step explanation:
Determine the 6th term of the following sequence.
1215, 405, 135, 45,...
Answers
Answer:
5
Step-by-step explanation:
Answer:
I think its 5
Step-by-step explanation:
because you divide them by 3 to get the next answer and 44 divided by 3 is 15 and 15 divided by 3 is 5
Please help as fast as possible thanks much appreciated in advance
Answers
Answer:
140
Step-by-step explanation:
x = 7 ; y = -2
7(2x - 3y) = 7(2*7 - 3*[-2])
= 7(14 + 6)
= 7 * 20
= 140
Step-by-step explanation:
this is what I believe the answer is and the work for it
I will give u a thank you
Answers
Answer:
The first one
Step-by-step explanation:
3x6=18
3.6x5=18
Which expression is equivalent to 100,000
Answers
Answer:
the answer is 10 with a little 4 on the top right corner
Step-by-step explanation:
count your zeros
The hourly wage is $7.50. John worked 7 hour. How much did he
earn?
Answers
Answer:
52.5
Step-by-step explanation:
7.50 x 7
HELP!!!!!
A quadratic function passes through the points (0,5), (2,3), and (3,5). Which function represents the same relationship?
Answers
Answer:
h(x)=x^2-3x+5
Step-by-step explanation:
Select all of the equations that are equivalent to 3.2 + 6 = 27
3x=21
3.x=33
X+ 6 = 24
x + 2 = 9